Date: LE Algebra 1: Unit 2 Analyzing and Interpreting Exponential Functions 1. The graph shows an exponential function. AKS:51.F.IF.7 12.80 0OO. ! 090.S 0DO.A "aidol hevip sili al slob sri aint 1238 nontoups Ha (000. 6 ) = = (x)1 . A 164 ( )o00.5 = (x/1 . 8 ()000 . A = 1X/1 0 What is the equation of the function? this sequence? *($)000.A = 1x1 .Q A. Y = () notheup oniwollot orit iswand of rignig silt eau B. Y = 2(3) * C. y = 2 (3 )* D. Y = 3( ? )* answer the following question. 2. The graph models the amount of a radioactive element present over the course of a 10-minute experiment. AKS:47.F.IF.4 20.0 (0, 20.0) 15.0 Amount of Element (grams) 10.0 5.0 (10 , 2.0 ) 10 Time (minutes) BUST al What is the average rate of change of the amount of the element over the 10- minute experiment? g statements is NOT TRUE about the graph of the extend A. -0.2 g/min B. -1.8 g/min - y al etotamyeb ent .a C. -2.0 g/minis .modmun Ipeillo a egnor onto D. -5.0 g/min opt is 2. .I- andboot teven fud asroboiago (x]1.azosioni x 2A .@ He By-22-2 AKS:52.F.IF.4 3. Use the table to answer the following question. enixylonA S finUpida 3 4 5 6 X 0 2 500 250 125 62.5 4,000 2,000 1,000 Which equation BEST fits the data in the given table? A . f ( x ) = = ( 4, 00 0 ) * B. f ( x) = 2,000 ( ; )* C. f( x) = 4,000 ( # ) fnoltenut oil lo noltoups ant el todw D. f (X) = 4,000(2) * Use the graph to answer the following question. Tf(x ) sopiparp to come bill claboni abig ent & 4. Which of the following statements is TRUE about the graph of the exponential function f(x)? AKS:52.F.IF.4 Street A. The x-intercept is 2. B. The asymptote is y = 3. C. The range is all real numbers. aim pel. .8 D. As x increases, f(x) approaches, but never reaches, -1. nim\\o O.S. .5 nim\\g 0.8. .d5. Aarav has 3,250 followers on social media. His number of followers is increasing at a rate of 3% per week. Which function represents his number of followers each week? AKS:25.A.CED.2 A. f (w) = 3,250(3) w B. f (w) = 3,250(0.03) w Jamie + 3. find f (2) C. f (w) = 3,250(0.97) w D. f ( W) = 3,250 (1.03 ) w 6. Use the table to answer the following question. AKS:54.F.BF. 1_a 2 3 5 . . . ONE an 8 16 32 64 Which of the following functions represents this sequence? A. f (n ) = 20-1 B. f (n ) = 4n - 1 C. f (n ) = 2 . 4n-1 DO D. f (n ) = 4. 20-1 ice are shown Use the graph to answer the following question. If ( x ) non ratio of the function? I botbalbal oriol apnods to sini oppievo shi bhil ? 12x 28- .wolad oldol ant sall -4._ lo model the valup at the mitrhigh in the way S- 7. Which of the following statements is NOT TRUE about the graph of the exponential function f(x)? AKS:52.F.IF.4 A. The y-intercept is 3. B. The x-intercept is 2. C. The asymptote is y = -1. D. The domain is all real numbers